Cremona's table of elliptic curves

7650 = 2 · 3² · 5² · 17

Class	r	Atkin-Lehner	Eigenvalues
7650a (2 curves)	1	2+ 3+ 5+ 17+	2+ 3+ 5+ -2  6  4 17+  2
Curve Equation t Generators 7650a1 [1,-1,0,-357,-3179] 1 [23:8:1] 7650a2 [1,-1,0,-30957,-2088739] 1 [307373:2166248:1331]
7650b (2 curves)	0	2+ 3+ 5+ 17-	2+ 3+ 5+  1 -3  4 17-  5
Curve Equation t 7650b1 [1,-1,0,-18867,999541] 1 7650b2 [1,-1,0,-93867,-10225459] 1
7650c (2 curves)	0	2+ 3+ 5+ 17-	2+ 3+ 5+  2  2  0 17-  4
Curve Equation t 7650c1 [1,-1,0,-226317,-44421659] 2 7650c2 [1,-1,0,-3694317,-2732121659] 2
7650d (1 curve)	0	2+ 3+ 5+ 17-	2+ 3+ 5+ -2 -2  0 17- -6
Curve Equation t 7650d1 [1,-1,0,-305742,67768916] 1
7650e (2 curves)	0	2+ 3+ 5+ 17-	2+ 3+ 5+  4 -2  6 17-  0
Curve Equation t 7650e1 [1,-1,0,-1917,476741] 2 7650e2 [1,-1,0,-103917,12818741] 2
7650f (1 curve)	0	2+ 3+ 5+ 17-	2+ 3+ 5+  5  5  0 17-  1
Curve Equation t 7650f1 [1,-1,0,-282,-1754] 1
7650g (2 curves)	0	2+ 3+ 5- 17+	2+ 3+ 5-  2 -6 -4 17+  2
Curve Equation t 7650g1 [1,-1,0,-85992,9727416] 3 7650g2 [1,-1,0,-80367,11050541] 1
7650h (2 curves)	1	2+ 3+ 5- 17-	2+ 3+ 5-  0  0  0 17- -4
Curve Equation t Generators 7650h1 [1,-1,0,93,20501] 2 [-10:141:1] 7650h2 [1,-1,0,-10707,420101] 2 [-62:949:1]
7650i (2 curves)	1	2+ 3+ 5- 17-	2+ 3+ 5-  0  0  0 17- -4
Curve Equation t Generators 7650i1 [1,-1,0,258,-95084] 2 [108:1034:1] 7650i2 [1,-1,0,-29742,-1925084] 2 [-100:254:1]
7650j (2 curves)	1	2+ 3+ 5- 17-	2+ 3+ 5- -1  3 -4 17-  5
Curve Equation t Generators 7650j1 [1,-1,0,-417,3141] 3 [-15:84:1] 7650j2 [1,-1,0,-6792,-213184] 1 [-370:347:8]
7650k (1 curve)	1	2+ 3+ 5- 17-	2+ 3+ 5-  2  2  0 17- -6
Curve Equation t Generators 7650k1 [1,-1,0,-110067,-14594059] 1 [979:28063:1]
7650l (1 curve)	1	2+ 3+ 5- 17-	2+ 3+ 5- -5 -5  0 17-  1
Curve Equation t Generators 7650l1 [1,-1,0,-63492,6173666] 1 [145:-59:1]
7650m (1 curve)	0	2+ 3- 5+ 17+	2+ 3- 5+  0 -6 -2 17+  4
Curve Equation t 7650m1 [1,-1,0,5508,286416] 1
7650n (2 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+  1  3 -2 17+ -7
Curve Equation t 7650n1 [1,-1,0,-2592,-50144] 1 7650n2 [1,-1,0,-5967,106861] 1
7650o (2 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+  2  0  6 17+  4
Curve Equation t 7650o1 [1,-1,0,-567,-3159] 2 7650o2 [1,-1,0,1683,-23409] 2
7650p (4 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+ -2  0 -2 17+ -4
Curve Equation t 7650p1 [1,-1,0,-57492,-5289584] 2 7650p2 [1,-1,0,-48492,-7008584] 2 7650p3 [1,-1,0,-168867,20235541] 2 7650p4 [1,-1,0,407133,127947541] 2
7650q (2 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+ -2  0 -5 17+ -1
Curve Equation t 7650q1 [1,-1,0,-567,-21659] 1 7650q2 [1,-1,0,5058,557716] 1
7650r (2 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+  3  3  4 17+ -5
Curve Equation t 7650r1 [1,-1,0,-14652,-11664] 1 7650r2 [1,-1,0,-6215742,5966240166] 1
7650s (2 curves)	1	2+ 3- 5+ 17-	2+ 3- 5+  1 -3  4 17- -1
Curve Equation t Generators 7650s1 [1,-1,0,-13874202,-10555067084] 1 [-13850:734593:8] 7650s2 [1,-1,0,-524155977,4618652600461] 1 [1088778006190:-35696606122427:96071912]
7650t (1 curve)	1	2+ 3- 5+ 17-	2+ 3- 5+  1  4 -3 17-  6
Curve Equation t Generators 7650t1 [1,-1,0,1758,-61084] 1 [80:726:1]
7650u (2 curves)	1	2+ 3- 5+ 17-	2+ 3- 5+  2  2  6 17- -8
Curve Equation t Generators 7650u1 [1,-1,0,-1692,-22784] 2 [-25:71:1] 7650u2 [1,-1,0,2808,-126284] 2 [54:398:1]
7650v (2 curves)	1	2+ 3- 5+ 17-	2+ 3- 5+  2 -4  0 17-  4
Curve Equation t Generators 7650v1 [1,-1,0,-162567,25601341] 2 [174:1513:1] 7650v2 [1,-1,0,-2610567,1624145341] 2 [629:14873:1]
7650w (1 curve)	1	2+ 3- 5+ 17-	2+ 3- 5+ -2  4  3 17-  3
Curve Equation t Generators 7650w1 [1,-1,0,-2292,42866] 1 [29:-2:1]
7650x (2 curves)	1	2+ 3- 5+ 17-	2+ 3- 5+ -2  4 -4 17- -4
Curve Equation t Generators 7650x1 [1,-1,0,-601542,-232423884] 2 [32799:5921913:1] 7650x2 [1,-1,0,-10393542,-12893479884] 2 [4107555:-742912056:125]
7650y (4 curves)	1	2+ 3- 5+ 17-	2+ 3- 5+ -2 -6 -2 17-  8
Curve Equation t Generators 7650y1 [1,-1,0,-574542,-167475884] 2 [1164:26618:1] 7650y2 [1,-1,0,-556542,-178473884] 2 [1404:41798:1] 7650y3 [1,-1,0,-937917,69004741] 2 [-5906:154459:8] 7650y4 [1,-1,0,3670083,543628741] 2 [3914:271643:1]
7650z (1 curve)	1	2+ 3- 5+ 17-	2+ 3- 5+ -4  2 -6 17-  4
Curve Equation t Generators 7650z1 [1,-1,0,-27,211] 1 [5:11:1]
7650ba (1 curve)	1	2+ 3- 5+ 17-	2+ 3- 5+  5 -4 -3 17- -2
Curve Equation t Generators 7650ba1 [1,-1,0,12213,81301] 1 [450:9601:1]
7650bb (1 curve)	1	2+ 3- 5+ 17-	2+ 3- 5+ -5  1  2 17- -7
Curve Equation t Generators 7650bb1 [1,-1,0,-387,2781] 1 [3:39:1]
7650bc (1 curve)	1	2+ 3- 5- 17+	2+ 3- 5-  3  5 -2 17+  1
Curve Equation t Generators 7650bc1 [1,-1,0,-117,391] 1 [-1:23:1]
7650bd (1 curve)	1	2+ 3- 5- 17+	2+ 3- 5- -3  5 -4 17+ -1
Curve Equation t Generators 7650bd1 [1,-1,0,-17442,-677484] 1 [-45:144:1]
7650be (1 curve)	1	2+ 3- 5- 17+	2+ 3- 5- -4 -2 -2 17+  8
Curve Equation t Generators 7650be1 [1,-1,0,-79155117,328719189541] 1 [-229321795:58161569843:79507]
7650bf (1 curve)	0	2+ 3- 5- 17-	2+ 3- 5-  0  6 -3 17- -7
Curve Equation t 7650bf1 [1,-1,0,-162,-1004] 1
7650bg (1 curve)	0	2+ 3- 5- 17-	2+ 3- 5- -1  3  4 17- -5
Curve Equation t 7650bg1 [1,-1,0,-4617,102541] 1
7650bh (2 curves)	0	2+ 3- 5- 17-	2+ 3- 5- -4  2  4 17-  4
Curve Equation t 7650bh1 [1,-1,0,-4077,-99419] 2 7650bh2 [1,-1,0,-65277,-6403019] 2
7650bi (2 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+  1  3  4 17+  5
Curve Equation t 7650bi1 [1,-1,1,-10430,382197] 1 7650bi2 [1,-1,1,-169805,-26817803] 1
7650bj (2 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+  2 -2  0 17+  4
Curve Equation t 7650bj1 [1,-1,1,-2036855,1201421647] 2 7650bj2 [1,-1,1,-33248855,73800533647] 2
7650bk (1 curve)	0	2- 3+ 5+ 17+	2- 3+ 5+ -2  2  0 17+ -6
Curve Equation t 7650bk1 [1,-1,1,-2751680,-1827009053] 1
7650bl (2 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+  4  2  6 17+  0
Curve Equation t 7650bl1 [1,-1,1,-17255,-12854753] 2 7650bl2 [1,-1,1,-935255,-345170753] 2
7650bm (1 curve)	0	2- 3+ 5+ 17+	2- 3+ 5+  5 -5  0 17+  1
Curve Equation t 7650bm1 [1,-1,1,-2540,49897] 1
7650bn (2 curves)	1	2- 3+ 5+ 17-	2- 3+ 5+ -2 -6  4 17-  2
Curve Equation t Generators 7650bn1 [1,-1,1,-3440,78507] 1 [35:-9:1] 7650bn2 [1,-1,1,-3215,89047] 1 [103:866:1]
7650bo (2 curves)	1	2- 3+ 5- 17+	2- 3+ 5-  0  0  0 17+ -4
Curve Equation t Generators 7650bo1 [1,-1,1,2320,2564947] 2 [85:1793:1] 7650bo2 [1,-1,1,-267680,52244947] 2 [-581:3665:1]
7650bp (2 curves)	1	2- 3+ 5- 17+	2- 3+ 5-  0  0  0 17+ -4
Curve Equation t Generators 7650bp1 [1,-1,1,10,-763] 2 [15:43:1] 7650bp2 [1,-1,1,-1190,-15163] 2 [-21:25:1]
7650bq (2 curves)	1	2- 3+ 5- 17+	2- 3+ 5- -1 -3 -4 17+  5
Curve Equation t Generators 7650bq1 [1,-1,1,-755,8147] 3 [-21:130:1] 7650bq2 [1,-1,1,-3755,-81053] 1 [-35:98:1]
7650br (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5-  2 -2  0 17+ -6
Curve Equation t Generators 7650br1 [1,-1,1,-12230,544597] 1 [73:-229:1]
7650bs (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5- -5  5  0 17+  1
Curve Equation t Generators 7650bs1 [1,-1,1,-7055,-226303] 1 [-3084:1585:64]
7650bt (2 curves)	0	2- 3+ 5- 17-	2- 3+ 5-  2  6 -4 17-  2
Curve Equation t 7650bt1 [1,-1,1,-8930,-406303] 3 7650bt2 [1,-1,1,-773930,-261866303] 1
7650bu (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  1  3 -4 17+ -5
Curve Equation t Generators 7650bu1 [1,-1,1,-185,857] 1 [3:16:1]
7650bv (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+ -2  0  1 17+ -1
Curve Equation t Generators 7650bv1 [1,-1,1,89770,3191397] 1 [9:1995:1] 7650bv2 [1,-1,1,-1494230,726071397] 1 [-171:31335:1]
7650bw (4 curves)	1	2- 3- 5+ 17+	2- 3- 5+ -2  0  4 17+ -4
Curve Equation t Generators 7650bw1 [1,-1,1,5620,1271247] 2 [-1:1125:1] 7650bw2 [1,-1,1,-147380,20855247] 2 [-121:6135:1] 7650bw3 [1,-1,1,-736880,243731247] 2 [449:1575:1] 7650bw4 [1,-1,1,-11791130,15587030247] 2 [14782:74955:8]
7650bx (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+ -2  0 -4 17+  4
Curve Equation t Generators 7650bx1 [1,-1,1,3145,-180853] 2 [639:15880:1] 7650bx2 [1,-1,1,-35105,-2246353] 2 [5214:124235:8]
7650by (4 curves)	1	2- 3- 5+ 17+	2- 3- 5+  4 -6 -2 17+ -4
Curve Equation t Generators 7650by1 [1,-1,1,-680,-4053] 2 [-21:35:1] 7650by2 [1,-1,1,-9680,-364053] 2 [-57:35:1] 7650by3 [1,-1,1,-23180,1363947] 2 [-111:1655:1] 7650by4 [1,-1,1,-25430,1084947] 2 [-906:13105:8]
7650bz (6 curves)	0	2- 3- 5+ 17-	2- 3- 5+  0  4  2 17-  4
Curve Equation t 7650bz1 [1,-1,1,-7655,-237153] 2 7650bz2 [1,-1,1,-25655,1310847] 4 7650bz3 [1,-1,1,-390155,93893847] 4 7650bz4 [1,-1,1,50845,7583847] 2 7650bz5 [1,-1,1,-6242405,6004666347] 2 7650bz6 [1,-1,1,-369905,104059347] 2
7650ca (8 curves)	0	2- 3- 5+ 17-	2- 3- 5+  0 -4  2 17-  4
Curve Equation t 7650ca1 [1,-1,1,-18005,-1138003] 2 7650ca2 [1,-1,1,-306005,-65074003] 4 7650ca3 [1,-1,1,-4896005,-4168534003] 2 7650ca4 [1,-1,1,-324005,-56974003] 4 7650ca5 [1,-1,1,-1624505,746734997] 4 7650ca6 [1,-1,1,688495,-342499003] 2 7650ca7 [1,-1,1,-25530755,49658922497] 2 7650ca8 [1,-1,1,1473745,3256317497] 2
7650cb (4 curves)	0	2- 3- 5+ 17-	2- 3- 5+  0 -4 -2 17- -4
Curve Equation t 7650cb1 [1,-1,1,895,897] 4 7650cb2 [1,-1,1,-3605,9897] 4 7650cb3 [1,-1,1,-37355,-2757603] 2 7650cb4 [1,-1,1,-41855,3299397] 2
7650cc (1 curve)	0	2- 3- 5+ 17-	2- 3- 5+  3  5  4 17- -1
Curve Equation t 7650cc1 [1,-1,1,-436055,-85121553] 1
7650cd (1 curve)	0	2- 3- 5+ 17-	2- 3- 5+ -3  5  2 17-  1
Curve Equation t 7650cd1 [1,-1,1,-2930,45947] 1
7650ce (1 curve)	0	2- 3- 5+ 17-	2- 3- 5+  4 -2  2 17-  8
Curve Equation t 7650ce1 [1,-1,1,-3166205,2630386757] 1
7650cf (4 curves)	0	2- 3- 5+ 17-	2- 3- 5+  4  4  2 17- -4
Curve Equation t 7650cf1 [1,-1,1,-22730,-1146103] 2 7650cf2 [1,-1,1,-94730,10085897] 4 7650cf3 [1,-1,1,-1471730,687569897] 2 7650cf4 [1,-1,1,130270,50585897] 2
7650cg (1 curve)	0	2- 3- 5- 17+	2- 3- 5-  0  6  3 17+ -7
Curve Equation t 7650cg1 [1,-1,1,-4055,-129553] 1
7650ch (2 curves)	0	2- 3- 5- 17+	2- 3- 5- -1 -3 -4 17+ -1
Curve Equation t 7650ch1 [1,-1,1,-346855055,-1319730240553] 1 7650ch2 [1,-1,1,-13103899430,577318471158197] 3
7650ci (1 curve)	0	2- 3- 5- 17+	2- 3- 5- -1  4  3 17+  6
Curve Equation t 7650ci1 [1,-1,1,70,-503] 1
7650cj (2 curves)	0	2- 3- 5- 17+	2- 3- 5-  4  2 -4 17+  4
Curve Equation t 7650cj1 [1,-1,1,-101930,-12529303] 2 7650cj2 [1,-1,1,-1631930,-802009303] 2
7650ck (1 curve)	0	2- 3- 5- 17+	2- 3- 5-  4  2  6 17+  4
Curve Equation t 7650ck1 [1,-1,1,-680,25697] 1
7650cl (1 curve)	0	2- 3- 5- 17+	2- 3- 5-  5  1 -2 17+ -7
Curve Equation t 7650cl1 [1,-1,1,-9680,337947] 1
7650cm (1 curve)	0	2- 3- 5- 17+	2- 3- 5- -5 -4  3 17+ -2
Curve Equation t 7650cm1 [1,-1,1,305320,10467947] 1
7650cn (1 curve)	1	2- 3- 5- 17-	2- 3- 5-  0 -6  2 17-  4
Curve Equation t Generators 7650cn1 [1,-1,1,220,2247] 1 [29:-195:1]
7650co (2 curves)	1	2- 3- 5- 17-	2- 3- 5- -1  3  2 17- -7
Curve Equation t Generators 7650co1 [1,-1,1,-64805,-6332803] 1 [-147:100:1] 7650co2 [1,-1,1,-149180,13208447] 3 [-381:4015:1]
7650cp (2 curves)	1	2- 3- 5- 17-	2- 3- 5- -3  3 -4 17- -5
Curve Equation t Generators 7650cp1 [1,-1,1,-248630,47779647] 1 [2302:-1065:8] 7650cp2 [1,-1,1,-366305,-1824303] 1 [-181:7740:1]

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